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\(L_\infty\)-convergence of collocation and Galerkin approximations to linear two-point parabolic problems. (English) Zbl 0301.65064

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
35K20 Initial-boundary value problems for second-order parabolic equations
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
39B42 Matrix and operator functional equations
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